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Finding the Fourth Proportional to 561,431.90, 774,833.09 and 332,063.44

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Solution

The fourth proportional to 561,431.90, 774,833.09 and 332,063.44 is: 458,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,431.90 : 774,833.09 = 332,063.44 : x
  2. Step 2: Convert to fraction form
    561,431.90/774,833.09 = 332,063.44/x
  3. Step 3: Cross multiply
    561,431.90x = 774,833.09 × 332,063.44
  4. Step 4: Simplify right side
    561,431.90x = 257,293,737,693.83
  5. Step 5: Solve for x
    x = 257,293,737,693.83/561,431.90
  6. Step 6: Final answer
    x = 458,281.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.